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- W1981106575 abstract "We present an algorithm computing recurrence relation coefficients for bivariate polynomials, orthonormal with respect to a discrete inner product. These polynomials make it possible to give the solution of a discrete least squares approximation problem. To compute these polynomials, we pose the inverse eigenvalue problem and solve it efficiently and in a stable way, using a sequence of Givens rotations. We also show how to generalize the algorithm for the case of polynomials in more variables. Several numerical experiments show the validity of the approach." @default.
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- W1981106575 date "2010-05-16" @default.
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- W1981106575 title "A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations" @default.
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- W1981106575 doi "https://doi.org/10.1007/s11075-010-9392-y" @default.
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